What is the value of ((sin(150)))/((1+cos(150))) ?

The value of ((sin(150)))/((1+cos(150))) is 2+sqrt(3)

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((sin(150)))/((1+cos(150)))

\frac{( sin ( 15 0 ^{\circ} ) )}{( 1 + cos ( 15 0 ^{\circ} ) )}

2 + 3

Solution steps

\frac{( sin ( 15 0 ^{\circ} ) )}{( 1 + cos ( 15 0 ^{\circ} ) )}

= \frac{sin ( 15 0 ^{\circ} )}{1 + cos ( 15 0 ^{\circ} )}

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cos (15 0^{\circ}) = - \frac{3}{2}

= \frac{\frac{1}{2}}{1 - \frac{3}{2}}

Simplify

\frac{\frac{1}{2}}{1 - \frac{3}{2}} : 2 + 3

= 2 + 3

\frac{( tan ( 7 0 ^{\circ} ) + tan ( 5 0 ^{\circ} ) )}{( 1 - tan ( 7 0 ^{\circ} ) tan ( 5 0 ^{\circ} ) )}

ln (2 + tan (\frac{3 π}{16}))

arcsin (4718)

(1) (1 - \frac{10}{100} + \frac{1}{2 π} (sin (2 π) (\frac{10}{100})))

cos (π) + i \cdot sin (π)

What is the value of ((sin(150)))/((1+cos(150))) ?
The value of ((sin(150)))/((1+cos(150))) is 2+sqrt(3)